A weakly over-penalized symmetric interior penalty method

We introduce a new symmetric interior penalty method for symmetric positive definite second order elliptic boundary value problems, where the jumps across element boundaries are weakly over-penalized. Error estimates are derived in the energy norm and the [L.sub.2] norm for both conforming and nonco...

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Published inElectronic transactions on numerical analysis Vol. 30; p. 107
Main Authors Brenner, Susanne C, Owens, Luke, Sung, Li-Yeng
Format Journal Article
LanguageEnglish
Published Institute of Computational Mathematics 01.01.2008
Subjects
Curves, Elliptic
Ellipse
Evaluation
Mathematical research
Symmetric functions
United States
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ISSN1068-9613
1097-4067

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Abstract We introduce a new symmetric interior penalty method for symmetric positive definite second order elliptic boundary value problems, where the jumps across element boundaries are weakly over-penalized. Error estimates are derived in the energy norm and the [L.sub.2] norm for both conforming and nonconforming meshes. Numerical results illustrating the performance of the method are also presented. Key words. symmetric interior penalty method, weak over-penalization AMS subject classifications. 65N30
AbstractList We introduce a new symmetric interior penalty method for symmetric positive definite second order elliptic boundary value problems, where the jumps across element boundaries are weakly over-penalized. Error estimates are derived in the energy norm and the [L.sub.2] norm for both conforming and nonconforming meshes. Numerical results illustrating the performance of the method are also presented.
We introduce a new symmetric interior penalty method for symmetric positive definite second order elliptic boundary value problems, where the jumps across element boundaries are weakly over-penalized. Error estimates are derived in the energy norm and the [L.sub.2] norm for both conforming and nonconforming meshes. Numerical results illustrating the performance of the method are also presented. Key words. symmetric interior penalty method, weak over-penalization AMS subject classifications. 65N30
Audience Academic
Author Owens, Luke
Sung, Li-Yeng
Brenner, Susanne C
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Snippet We introduce a new symmetric interior penalty method for symmetric positive definite second order elliptic boundary value problems, where the jumps across...
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StartPage 107
SubjectTerms Curves, Elliptic
Ellipse
Evaluation
Mathematical research
Symmetric functions
Title A weakly over-penalized symmetric interior penalty method
Volume 30
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